Please answer all three with work shown. A, B and C.

Power and Associates publishes the results of its North American Hotel Guest Satisfaction Index Study. For 2019, the study revealed that 29% of hotel guests experienced a better-than-expected quality of sleep at the hotel. Among these guests, 71% stated they would "definitely" return to that hotel brand. In a random sample of 15 hotel guests, consider the number (x) of guests who experienced a better-than-expected quality of sleep and would return to that hotel brand. a. Explain why x is (approximately) a binomial random variable. b. Use the rules of probability to determine the value of p for this binomial experiment. c. Assume p=.20. Find the probability that at least 10 of the 15 hotel guests experienced a betterthan-expected quality of sleep and would return to that hotel brand